计算：(y-x)^3(x-y)^m-(x-y)^m+2(y-x)

分类: 作业答案 • 2022-02-26 17:05:15

问题描述：

答

原式=(x-y)^m(y-x)[(y-x)^2-(x-y)^2]=(x-y)^m(y-x)[(y-x+x-y)(y-x-x+y)
=(x-y)^m(y-x)X0=0
先提公因式，再用公式化简

答

[(y-x)^3]*[(x-y)^m]-[(x-y)^(m+2)]*(y-x)
=-[(x-y)^3]*[(x-y)^m]+[(x-y)^(m+2)]*(x-y)
=-[(x-y)^(m+3)]+[(x-y)^(m+3)]
=0